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Maths Application of Derivatives Class 12 MCQ Questions

NCERT Exemplar MCQ Quiz · Class 12 · Maths · CBSE

Preparing for CBSE

Chapter 6 Class 12 Application of Derivatives | 7 questions | about 6 minutes

Practise Application of Derivatives Class 12 with Teachoo's NCERT Exemplar MCQ Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
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The equation of normal to the curve \(3 x^2-y^2=8\) which is parallel to the line \(x+3 y=8\) is
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Question 2 of 7
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If the second derivative test for a critical point \(c\) results in \(f^{\prime}(c)=0\), what is the next step?
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Question 3 of 7
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A ladder is leaning against a wall and its base is being pulled away from the wall. The rate at which the top of the ladder slides down the wall is:
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Question 4 of 7
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A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of \(10 \mathrm{~cm} / \mathrm{sec}\), then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is:
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Question 5 of 7
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The function \(f(x)=x^{\wedge} 3\) has \(f^{\prime}(0)=0\). What is true about the point \(x=0\) ?
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Question 6 of 7
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The equation of the normal to the curve \(y=\sin x\) at \((0,0)\) is:
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Question 7 of 7
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\(y=x(x-3)^2\) decreases for the values of \(x\) given by :
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